66725065753632 has 480 divisors, whose sum is σ = 231358662279360. Its totient is φ = 18598373038080.

The previous prime is 66725065753583. The next prime is 66725065753663. The reversal of 66725065753632 is 23635756052766.

66725065753632 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 5 + 0 + 65 + 7 + 536 + 32 = 666.

66725065753632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66725065753632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104577594 + ... + 105213702.

It is an arithmetic number, because the mean of its divisors is an integer number (481997213082).

Almost surely, 2^{66725065753632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66725065753632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115679331139680).

66725065753632 is an abundant number, since it is smaller than the sum of its proper divisors (164633596525728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66725065753632 is a wasteful number, since it uses less digits than its factorization.

66725065753632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636438 (or 636421 counting only the distinct ones).

The product of its (nonzero) digits is 285768000, while the sum is 63.

The spelling of 66725065753632 in words is "sixty-six trillion, seven hundred twenty-five billion, sixty-five million, seven hundred fifty-three thousand, six hundred thirty-two".